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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

What are all real solutions of x3+2x2−8x=0x^3 + 2x^2 - 8x = 0?

  • A

    x=−2,4x = -2, 4

  • B

    x=0,2,4x = 0, 2, 4

  • C

    x=0,−2,4x = 0, -2, 4

  • D

    x=0,2,−4x = 0, 2, -4

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Explanation

Factor: x(x2+2x−8)=x(x+4)(x−2)=0x(x^2 + 2x - 8) = x(x + 4)(x - 2) = 0. Solutions: 0,−4,20, -4, 2.

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